Abstract and Applied Analysis, 2014 In this note we express the norm of composition followed by differentiation DCφ from the logarithmic Bloch and the little logarithmic Bloch spaces to the weighted space Hμ∞ on the unit disk and give an upper and a lower bound for the essential norm of ...
Shanli Ye
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Essential norm estimates for composition operators on BMOA
Journal of Functional Analysis, 2013 Abstract We provide two function-theoretic estimates for the essential norm of a composition operator C φ acting on the space BMOA; one in terms of the n-th power φ n of the symbol φ and one which involves the Nevanlinna counting function. We also show that if the symbol φ is univalent, then the essential norm of C φ
Pablo Galindo +2 more
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Essential Norm of the Generalized Integration Operator from Zygmund Space into Weighted Dirichlet Type Space [PDF]
Sahand Communications in Mathematical Analysis, 2022 Let $H(\mathbb{D})$ be the space of all analytic functions on the open unit disc $\mathbb{D}$ in the complex plane $\mathbb{C}$. In this paper, we investigate the boundedness and compactness of the generalized integration operator$$I_{g,\varphi}^{(n)}(f)(
Fariba Alighadr +2 more
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Inequalities involving norm and essential norm of weighted composition operators [PDF]
Journal of Mathematical Inequalities, 2017 Ajay K. Sharma +3 more
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Volterra integral operators on a family of Dirichlet-Morrey spaces [PDF]
Opuscula Mathematica, 2023 A family of Dirichlet-Morrey spaces \(\mathcal{D}_{\lambda,K}\) of functions analytic in the open unit disk \(\mathbb{D}\) are defined in this paper. We completely characterize the boundedness of the Volterra integral operators \(T_g\), \(I_g\) and the ...
Lian Hu, Xiaosong Liu
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Product-type Operators Between Minimal M\"{o}bius Invariant Spaces and Zygmund Type Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2023 In this work, we consider product-type operators $T^m_{u,v,\varphi}$ from minimal M\"{o}bius invariant spaces into Zygmund-type spaces. Firstly, some characterizations for the boundedness of these operators are given.
Mostafa Hassanlou +3 more
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On the essential norms of Toeplitz operators with continuous symbols [PDF]
Journal of Functional Analysis, 2021 It is well known that the essential norm of a Toeplitz operator on the Hardy space $H^p(\mathbb{T})$, $1 < p < \infty$ is greater than or equal to the $L^\infty(\mathbb{T})$ norm of its symbol. In 1988, A. B ttcher, N. Krupnik, and B. Silbermann posed a question on whether or not the equality holds in the case of continuous symbols.
Eugene Shargorodsky, Eugene Shargorodsky
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Estimates of Norm and Essential norm of Differences of Differentiation Composition Operators on Weighted Bloch Spaces [PDF]
Sahand Communications in Mathematical Analysis, 2020 Norm and essential norm of differences of differentiation composition operators between Bloch spaces have been estimated in this paper. As a result, we find characterizations for boundedness and compactness of these operators.
Mostafa Hassanloo
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A class of operator related weighted composition operators between Zygmund space [PDF]
AUT Journal of Mathematics and Computing, 2021 Let $\mathbb {D}$ be the open unit disk in the complex plane $\mathbb{C}$ and $H(\mathbb{D})$ be the set of all analytic functions on $\mathbb{D}$. Let $u, v\in H(\mathbb{D})$ and $\varphi$ be an analytic self-map of $\mathbb{D}$.
Ebrahim Abbasi
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Generalized Stević-Sharma operators from the minimal Möbius invariant space into Bloch-type spaces
Demonstratio Mathematica, 2023 The aim of this study is to investigate the boundedness, essential norm, and compactness of generalized Stević-Sharma operator from the minimal Möbius invariant space into Bloch-type space.
Guo Zhitao
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